Further Mathematics

A Level / 2 year Course / Edexcel

Further mathematics extends and develops the topics introduced in the mathematics course and introduces some new topics such as complex numbers. The course provides an excellent grounding for anyone going on to study mathematics, engineering, computer science or physics at university.

Further mathematics provides a great opportunity for enthusiastic mathematicians to broaden and deepen their subject knowledge. It is for those students who love mathematics and want to devote more time to studying wider aspects of the subject.

More on this course

Topics studied on this course include complex numbers and matrices. Complex numbers allow the solution of a range of equations, which would otherwise have no solutions, through the introduction of imaginary numbers. Matrices consist of grids of numbers, which can be used to represent transformations and are used to solve simultaneous equations amongst many other things. Other areas of pure mathematics are included such as polar co-ordinates, differential equations and hyperbolic functions.

Each of these builds on earlier topics and encourages the development of a wider understanding of the ways in which mathematical topics are interconnected. Further mathematics provides the opportunity to study the applications of mathematics in more detail. Decision mathematics and further mechanics are covered.

Teaching and learning methods

Students will be taught by specialist teachers and experience a wide variety of lesson activities such as investigation, group tasks and individual study. Students are expected to complete frequent wider study tasks and are assessed on a regular basis.

Assessment

The course is assessed by three external exams at the end of Year 13.

Skills and Careers Insight

A Level Further Mathematics sharpens your advanced problem-solving, analytical, and logical thinking skills, giving you a deep understanding of mathematical concepts beyond the standard curriculum. You'll master topics like calculus, complex numbers, and matrices, which are essential for solving real-world problems. These skills are highly valued in careers such as engineering, computer science, finance, data analysis, and research. Whether you want to pursue a career as an actuary, software engineer, or financial analyst, A Level Further Mathematics provides a strong foundation for success in fields that require high-level mathematical expertise.

Subject Combination

Anyone choosing to study Further mathematics must also study mathematics. Further mathematics works well alongside other subjects with a high mathematical content such as physics, chemistry and computer science.

Mathematics

Chemistry

Computer Science

Physics

Student Testimonials

What do our students think about studying here?

As someone who would like to study a maths-based degree at university this course was also a key choice for my progression route. With content including complex numbers, proof and matrixes, I would definitely recommend further maths if you are really interested in expanding the standard mathematical concepts introduced in A Level Mathematics. It is also good for exploring completely new topics if you are considering a mathematics-heavy degree-career in the future such as Economics, Engineering/Science or Medicine.

Kaitlyn Sleeman

Former DSFC Student from Hetton Academy

I think the best thing about Durham Sixth Form Centre is the fact that it’s a mature environment and it gives you the independence you need.

Sam Henig

Previous school - Wellfield School

I think Durham Sixth Form Centre is a perfect choice because the lessons are well planned and there is a brilliant balance between independent learning and support from all teachers.

Hannah Warwick

Previous school - Hermitage Academy

When I was in Year 11, the biggest worry for me was the transitional period between Year 11 and Year 12. But the support and the teachers made this so much smoother for me moving from my secondary school to Durham Sixth Form Centre.

Jenni Fairish

Previous school - Whitworth Park Academy

The atmosphere and quality of teaching at Durham Sixth Form Centre is very impressive and you can see a great deal of passion from the educators, which is something I believe is very important.

Logan Aitchinson

Previous school - Park View School

Even if you start Durham Sixth Form Centre with no idea where you’re going, you will get the opportunities to talk about your future and go through it and you’ll know what you’re doing later on.

Alice Robson

Previous school - Belmont School